2017
Том 69
№ 6

All Issues

Approximating Characteristics of the Classes $L_{β,p}^{ψ}$ of Periodic Functions in the Space $L_q$

Shkapa V. V.


Abstract

We obtain the exact-order estimates of the best $m$-term and orthogonal trigonometric approximations and establish the order of trigonometric widths for the classes $L_{β,p}^{ψ}$ in the space $L_q$ for some relations between the parameters $p$ and $q$.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 8, pp 1283-1295.

Citation Example: Shkapa V. V. Approximating Characteristics of the Classes $L_{β,p}^{ψ}$ of Periodic Functions in the Space $L_q$ // Ukr. Mat. Zh. - 2015. - 67, № 8. - pp. 1139-1150.